Nine Students Took the SAT $\alpha =$ 05

Essay

Nine students took the SAT. Their scores are listed below. Later on, they took a test preparation course and
retook the SAT. Their new scores are listed below. Test the claim that the test preparation had no effect on their
scores. Assume the samples are random and dependent, and the populations are normally distributed. Use $\alpha =$ .05. $$\begin{array} { l | c c c c c c c c c } \text { Student } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\\hline \text { Scores before course } & 720 & 860 & 850 & 880 & 860 & 710 & 850 & 1200 & 950 \\\hline \text { Scores after course } & 740 & 860 & 840 & 920 & 890 & 720 & 840 & 1240 & 970\end{array}$$